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We discuss physics of the three neutrino flavor transformation with non-unitary mixing matrix, with particular attention to the correlation between the $\nu$SM- and the $\alpha$ parameters which represent effect of unitarity violating (UV)…

High Energy Physics - Phenomenology · Physics 2020-05-20 Ivan Martinez-Soler , Hisakazu Minakata

Recently we have developed a method called ``Symmetry Finder'' (SF) for hunting the reparametrization symmetry in the three-neutrino system in matter. Here, we apply SF to the Denton {\it et al.} (DMP) perturbation theory extended by…

High Energy Physics - Phenomenology · Physics 2023-07-06 Hisakazu Minakata

In the present work, we have considered minimal unitarity violation(MUV) scheme, to obtain the general expression for $\nu_{\mu}\rightarrow\nu_{\tau}$ oscillation probability, in vacuum. For this channel, we have investigated the…

High Energy Physics - Phenomenology · Physics 2016-09-22 Surender Verma , Shankita Bhardwaj

Non-unitary neutrino mixing implies an extra CP violating phase that can fake the leptonic Dirac CP phase $\delta_{CP}$ of the simplest three-neutrino mixing benchmark scheme. This would hinder the possibility of probing for CP violation in…

High Energy Physics - Phenomenology · Physics 2017-03-03 Shao-Feng Ge , Pedro Pasquini , M. Tortola , J. W. F. Valle

We update and summarize the present status of our understanding of the reparametrization symmetry with $i \leftrightarrow j$ state exchange in neutrino oscillation in matter. We introduce a systematic method called ``Symmetry Finder'' (SF)…

High Energy Physics - Phenomenology · Physics 2022-11-16 Hisakazu Minakata

One of the fundamental parameters entering neutrino oscillation framework is the leptonic CP phase $\delta_{13}$ and its measurement is an important goal of the planned long baseline experiments. It should be noted that ordinary matter…

High Energy Physics - Phenomenology · Physics 2017-05-03 Jogesh Rout , Mehedi Masud , Poonam Mehta

In this paper we discuss the detection of CP and T-violation effects in the framework of a neutrino factory. We introduce three quantities, which are good discriminants for a non vanishing complex phase ($\delta$) in the $3\times 3$…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Bueno , M. Campanelli , S. Navas-Concha , A. Rubbia

A low energy non-unitary leptonic mixing matrix is a generic feature of many extensions of the Standard Model. In such a case, the task of future precision neutrino oscillation experiments is more ambitious than measuring the three mixing…

High Energy Physics - Phenomenology · Physics 2009-09-02 Stefan Antusch , Mattias Blennow , Enrique Fernandez-Martinez , Jacobo Lopez-Pavon

Using the fact that the neutrino mixing matrix $U = U^\dagger_{e}U_{\nu}$, where $U_{e}$ and $U_{\nu}$ result from the diagonalisation of the charged lepton and neutrino mass matrices, we analyse the predictions based on the sum rules which…

High Energy Physics - Phenomenology · Physics 2015-05-12 I. Girardi , S. T. Petcov , A. V. Titov

Neutrino oscillations are well established and the relevant parameters determined with good precision, except for the CP phase, in terms of a unitary lepton mixing matrix. Seesaw extensions of the Standard Model predict unitarity deviations…

High Energy Physics - Phenomenology · Physics 2016-04-08 F. J. Escrihuela , D. V. Forero , O. G. Miranda , M. Tortola , J. W. F. Valle

We formulate a perturbative framework for the flavor transformation of the standard three active neutrinos but with non-unitary flavor mixing matrix, a system which may be relevant for leptonic unitarity test. We use the $\alpha$…

High Energy Physics - Phenomenology · Physics 2020-06-10 Ivan Martinez-Soler , Hisakazu Minakata

If neutrinos get mass via the seesaw mechanism the mixing matrix describing neutrino oscillations can be effectively non-unitary. We show that in this case the neutrino appearance probabilities involve a new CP phase, phi, associated to…

High Energy Physics - Phenomenology · Physics 2016-08-12 O. G. Miranda , M. Tortola , J. W. F. Valle

We present a systematic procedure to establish a connection between complex neutrino mass matrix textures and experimental observables, including the Dirac CP phase. In addition, we illustrate how future experimental measurements affect the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Walter Winter

We derive predictions for the Dirac phase $\delta$ present in the $3\times 3$ unitary neutrino mixing matrix $U = U_e^{\dagger} \, U_{\nu}$, where $U_e$ and $U_{\nu}$ are $3\times 3$ unitary matrices which arise from the diagonalisation,…

High Energy Physics - Phenomenology · Physics 2015-11-10 I. Girardi , S. T. Petcov , A. V. Titov

Using the fact that the neutrino mixing matrix $U = U^\dagger_{e}U_{\nu}$, where $U_{e}$ and $U_{\nu}$ result from the diagonalisation of the charged lepton and neutrino mass matrices, we consider a number of forms of $U_{\nu}$ associated…

High Energy Physics - Phenomenology · Physics 2015-02-03 S. T. Petcov

We propose a new pattern of the neutrino mixing matrix which can be parametrized as the product of an arbitrary Hermitian matrix and the well-known tri-bimaximal mixing matrix. In this scenario, nontrivial values of the smallest neutrino…

High Energy Physics - Phenomenology · Physics 2008-11-26 Shu Luo

We propose two schemes for the lepton mixing matrix $U = U_l^\dagger U_\nu$, where $U = U_l$ refers to the charged sector, and $U_\nu$ denotes the neutrino diagonalization matrix. We assume $U_\nu$ to be CP conserving and its three angles…

High Energy Physics - Phenomenology · Physics 2019-04-18 Peng Chen , Gui-Jun Ding , Rahul Srivastava , José W. F. Valle

We study a model with partial quark-lepton universality that can naturally arise in grand unified theories. We find that constraints on the model can be reduced to a single condition on the Dirac CP phase $\delta$ in the neutrino sector.…

High Energy Physics - Phenomenology · Physics 2015-10-02 Jiajun Liao , D. Marfatia , K. Whisnant

Non-unitary neutrino mixing in the light neutrino sector is a direct consequence of type-I seesaw neutrino mass models. In these models, light neutrino mixing is described by a sub-matrix of the full lepton mixing matrix and, then, it is…

High Energy Physics - Phenomenology · Physics 2021-11-03 D. V. Forero , C. Giunti , C. A. Ternes , M. Tortola

We study the CP violation effects from two types of neutrino mass matrices with (i) $(M_\nu)_{ee}=0$, and (ii) $(M_\nu)_{ee}=(M_\nu)_{e\mu}=0$, which can be realized by the high dimensional lepton number violating operators $\bar…

High Energy Physics - Phenomenology · Physics 2016-01-20 Chao-Qiang Geng , Da Huang , Lu-Hsing Tsai
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